*The hyperoperation after exponentiation is Tetration.
*The hyperoperation after exponentiation is Tetration.
*Tetration is called iterated exponentiation.
*Tetration is called iterated exponentiation.
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*The notation <math>^n a</math> means <math>a^a^a...</math> the application of exponentiation {\displaystyle n-1} n-1 times.
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*The notation <math>^n a</math> means <math>a^a^a...</math> the application of exponentiation <math> n-1</math> times.
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*Tetration is simply defined by:For any positive real {\displaystyle a>0} a>0 and non-negative integer {\displaystyle n\geq 0} n\geq 0, we define {\displaystyle \,\!{^{n}a}} \,\!{^{n}a} by:
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*Tetration is simply defined by:For any positive real a>0 and non-negative integer {\displaystyle n\geq 0} n\geq 0, we define {\displaystyle \,\!{^{n}a}} \,\!{^{n}a} by: